Q. 23.9( 7 Votes )

A toy is in the shape of a square pyramid of base edge 16 centimetres and slant height 10 centimetres. What is the total cost of painting 500 such toys, a 80 rupees per square metre?

Answer :

Given: side of a square = 16cm

Slant Height (l) = 10 cm


We know that,


Surface area of a pyramid


Where, p = perimeter of the base


l = slant height


A = area of the base


Area of a square base (A) = side × side


= 16 × 16


Area of a square base (A) = 256 cm2


Perimeter of a square base (p) = 4 × side


= 4 × 16


Perimeter of a square base (p) = 64 cm


Since, Surface area of a pyramid


Surface area of a pyramid


Total surface area of pyramid shaped toys = 500 × 576


= 288000cm2


= 28.8m2


Cost of 1m2 = 80Rs.


Cost of 28.8m2 = 28.8 × 80 = 2304 Rs.


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